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4 years ago

A rectangle has a height of b3 + b2 and a width of b2 + 76 + 4.

Mathematics

1 answer:

zaharov [31]4 years ago

3 0

Answer:

The area is:

${b}^{5} + 8 {b}^{4} + 11 {b}^{3} + 4 {b}^{2}$

Step-by-step explanation:

To find the area of a rectangle, multiply the width by the height (I'll be using x for b, as it is easier when writing the equations):

$a = ({x}^{ 3} + {x}^{2} )( {x}^{2} + 7x + 4) \\ a = {x}^{5} + 7{x}^{4} + 4 {x}^{3} \\ + {x}^{4} + 7 {x}^{3} + 4 {x}^{2} \\ a = {x}^{5} + 8 {x}^{4} + 11 {x}^{3} + 4 {x}^{2}$

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Solve for x. (parallelogram)

victus00 [196]

The value of x is 55°

Step-by-step explanation:

Given figure is a parallelogram.

In a parallelogram, the opposite sides are equal and parallel and the opposite angles are equal.

This means that,

in the given parallelogram

m∠A=m∠C=x°

m∠B=m∠D=(2x+15)°

The sum of interior angles of a parallelogram is 360 degrees.

So,

m∠A+m∠B+m∠C+m∠D=360°

Putting the values of angles

$x+(2x+15)+x+(2x+15)=360\\x+2x+15+x+2x+15=360\\6x+30=360\\Subtracting\ 30\ from\ both\ sides\\6x+30-30=360-30\\6x=330\\Dividing\ both\ sides\ by\ 6\\\frac{6x}{6}=\frac{330}{6}\\x=55$

The value of x is 55°

Keywords: Parallelogram, angles

Learn more about parallelograms at:

#LearnwithBrainly

7 0

3 years ago

find the number of subsets of s = 1 2 3 . . . 10 that contain exactly 4 elements including 3 or 4 but not both.

Anna007 [38]

Answer:

112

Step-by-step explanation:

Let A be a subset of S that satisfies such condition.

If 3∈A, then the other three elements of A must be chosen from the set B={1,2,5,6,7,8,9,10} (because 3 cannot be chosen again and 4 can't be alongside 3). B has eight elements, then there are $\binom{8}{3}=56$ ways to select the remaining elements of A (the binomial coefficient counts this). The remaining elements determine A uniquely, then there are 56 subsets A.

If 4∉A, we have to choose the remaining elements of A from the set B={1,2,5,6,7,8,9,10}. B has eight elements, then there are $\binom{8}{3}=56$ ways to select the remaining elements of A. Thus, there are 56 choices for A.

By the sum rule, the total number of subsets is 56+56=112

4 0

4 years ago

A group of tourists spends $156 to rent snorkels and fins. A total of 15 snorkels and 18 pairs of fins are rented. Renting a sno

konstantin123 [22]

There is two answers , TX$65p/hLaura L.Experienced ACT / SAT Tutor: English, Math, Reading, Science, Writing 2000+ hours 5.0 (629 Ratings) Message Laura 3 0

At any given time, the amount of money in a club's bank account will equal the starting amount plus the amount saved each week. We can set up an equation for each club that adds these two parts together to give us that total:

$ saved up by each club after X weeks = starting $ + ($ saved per week)*(X number of weeks)

For each club, here are the equations we need:

Total $ Saved by Science Club after X weeks = 20 + 10X
Total $ Saved by Music Club after X weeks = 50 + 5X
Total $ Saved by Math Club after X weeks = 0 + 15X

We can use "Y" to represent the total $ saved by each club:

Ysci = 20 + 10X

Ymus = 50 + 5X

Ymath = 15X

To find all the possible times when any two clubs will have saved the same amount of money, we just need to graph these three equations and find the points where each pair of lines intersect. After graphing the equations, we're looking for the X-values for the intersection points where:

1) Ysci = Ymus

(The point at which 20 + 10X = 50 + 5X)

2) Ysci = Ymath

(The point at which 20 + 10X = 15X)

Ymus = Ymath

(The point at which 50 + 5X = 15X)

We can check the graphing solution by solving these pairs of equations with algebra. We just combine all "X" terms on one side and all number terms on the other side to solve for X.

1) Ysci = Ymus

20 + 10X = 50 + 5X

5X = 30

X = 6

2) Ysci = Ymath

20 + 10X = 15X

20 = 5X

X = 4

Ymus = Ymath

50 + 5X = 15X

50 = 10X

X = 5

Answer Summary:
1) $ saved by Science Club = $ saved by Music Club after 6 weeks;
2) $ saved by Science Club = $ saved by Math Club after 4 weeks;
3) $ saved by Music Club = $ saved by Math Club after 5 weeks.

7 0

3 years ago

Makayla's local movie theater has a moviegoer club that charges an annual registration fee of $25. However, movie tickets are di

ryzh [129]

The function would have to be the total cost as a function of the number of tickets bought. When you write that in functional notation, that would be C(m). Now, the cost must include the fixed rate of $25 plus a variable rate of $6 per ticket. The function would be,

C(m) = 25 + 6m

8 0

3 years ago

Read 2 more answers

PLEASE HELP!!!! ILL GIVE BRAINLIEST!

dmitriy555 [2]

Answer: because the figure on the left is negative and more wide open while the other one is not only smaller but also positive and it’s more shut

Step-by-step explanation:

So the X-axis of the Figure on the left is going form point -3 to 0 while the other figure on the right is going form 3 to 5. And the Y- axis of the figure on the left is 2 while the right is 1 which proves that the figure on the left is bigger then the other

Your Also supposed to add all the point like first look for the Y and the X of I with J Then look for H and K then look for G and L the look for the slope of all those and then add them,then do the same with the left one and see which ones more and how much more

6 0

3 years ago